Similar to [1]}, we apply losses on the mesh surface normal and edge length as shape regularization.
The normal loss \(\mathcal {L}_{norm}\)  and edge loss \(\mathcal {L}_{edge}\)  are:
\(\mathcal {L}_{norm} &= \sum _f \sum _{\lbrace v_i,v_j\rbrace  \subset f}\Big | \Big \langle \frac{v_i - v_j}{\Vert  v_i - v_j \Vert _2}, {n_f}^* \Big \rangle \Big | , \\\mathcal {L}_{edge} &= \sum _f \sum _{\lbrace v_i,v_j\rbrace  \subset f}\Big | \Vert v_i - v_j\Vert _2 - \Vert {v_i}^* - {v_j}^*\Vert _2 \Big | ,\) 
